Answer :
The distance from Town A to Town B is 28²/₃ miles
Further Explanation
Given:
1¹/₄ miles complete in the first week
1²/₃ miles complete in the second week
25³/₄ miles left to build
Question
What is the distance from Town A to Town B?
to calculate the distance between those two town:
[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }[/tex]
There are two ways to solve this fraction additional
1. Change the mixed fraction to proper fraction
[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }[/tex]
[tex]\boxed {= \frac{5}{4} +\frac{5}{3} + \frac{103}{4} } \\\boxed {=\frac{15+20+309}{12} }\\\boxed {= \frac{344}{12} }\\ \boxed {= 28\frac{2}{3} }[/tex]
so the distance between Town A to Town B is 28²/₃ miles
The fraction above is in mixed fraction, first we can change them into proper fraction then add them. When the denominator is different we need to find a common denominator to be able to add them.
The common denominator for 4 and 3 is 12.
2. Other way is mixed fraction additional
[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }[/tex]
[tex]\boxed {= 1\frac{1}{4} + 1\frac{2}{3} + 25\frac{3}{4} }\\\boxed {= 1+1+25 (\frac{1}{4} + \frac{2}{3} +\frac{3}{4})\ } \\\boxed {=27 (\frac{3+8+9}{12}) }[/tex]
[tex]\boxed {= 27 (\frac{20}{12} )}\\\boxed {= 27 (1\frac{8}{12}) } \\\boxed {= 28 \frac{2}{3} }[/tex]
Learn More
Additional that have sum of 10 https://brainly.com/question/5146571
Mixed fraction https://brainly.com/question/745462
Keywords: fraction, mixed fraction, additional fraction, distance between two town, proper fraction
